# Catoptrica (recensio Theonis?) κϚ΄.

Euclid, Catoptrica (recensio Theonis?), κϚ΄.. Ancient Greek.

Canonical: https://interlinea.aeterna-institute.org/library/greek/euclid/catoptrica-recensio-theonis/%CE%BA%CF%9A%CE%84.

Ἐν τοῖς κοίλοις ἐνόπτροις ἐὰν ἐκβαλὼν διάμετρον τῆς σφαίρας ἐκ τοῦ κέντρου πρὸς ὀρθὰς ἀναγάγῃς καὶ εἰς τὸ ἕτερον μέρος θῇς τὸ ὄμμα, οὐδὲν τῶν ἐν τῷ αὐτῷ μέρει, ἐν τὸ ὄμμα ἐστίν, ὀφθήσεται, τουτέστιν οὔτε τῶν ἐπὶ τῆς διαμέτρου οὔτε τῶν ἐκτὸς τῆς διαμέτρου. ἔστω κοῖλον ἔνοπτρον τὸ ΑΓ∠, διάμετρος δὲ ἔστω τῆς σφαίρας ἡ Α∠, καὶ τῇ Α∠ πρὸς ὀρθὰς ἀνεστάτω ἀπὸ τοῦ κέντρου τοῦ Ζ ἡ ΖΓ, ὄμμα δὲ ἔστω τὸ Β, ὄψις δὲ ἡ ΒΕ. οὐκοῦν ἡ ΒΕ ἀνακλωμένη οὐχ ἥξει οὔτε ἐπὶ τὸ Β οὔτε ἐπὶ τὸ Ζ· ἐν γὰρ ἴσαις γωνίαις ἀνακλᾶται. ἥξει ἄρα ὡς ἡ ΕΘ. ὁμοίως δὲ καὶ ἐὰν ἐντὸς ἐμπέσῃ τὸ ὄμμα, ὅπου τὸ Θ, ἢ ἐπὶ τῆς διαμέτρου, ὅπου τὸ Μ, ἀνακλώμεναι αἱ ὄψεις αἱ ΘΚ, ΜΝ ἥξουσιν ὡς αἱ ΚΛ, ΝΞ. οὐκ ἄρα ὁρᾶται οὐδὲν τῶν ἐν τῷ αὐτῷ μέρει, ὅπου ἐστὶ τὸ ὄμμα, οὔτε τῶν ἐπὶ τῆς διαμέτρου οὔτε τῶν ἐκτὸς τῆς διαμέτρου.

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Euclid, Catoptrica (recensio Theonis?), ed. Johan Ludvig Heiberg, Heinrich Menge. Text: The Greek Library, from the Perseus Digital Library and other open sources, CC BY-SA 4.0. Changes: apostrophes normalised and the text divided into reading sections by Interlinea.
License: CC BY-SA 4.0 (https://creativecommons.org/licenses/by-sa/4.0/). Source: https://thegreeklibrary.pages.lisn.upsaclay.fr/works/tlg1799.tlg011.local001/.